Least Common Multiple of 887 and 894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 887 and 894 the smallest integer that is 792978 that is divisible by both numbers.

Least Common Multiple (LCM) of 887 and 894 is 792978.

LCM(887,894) = 792978

LCM of 887 and 894

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 887 and 894

LCM of 887 and 894 is 792978

Least common multiple can be found by multiplying the highest exponent prime factors of 887 and 894. First we will calculate the prime factors of 887 and 894.

Prime Factorization of 887


887 887
1

Prime factors of 887 are 887. Prime factorization of 887 in exponential form is:

887 = 8871

Prime Factorization of 894


2 894
3 447
149 149
1

Prime factors of 894 are 2, 3,149. Prime factorization of 894 in exponential form is:

894 = 21×31×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 887 and 894.

LCM(887,894) = 21×31×1491×8871
LCM(887,894) = 792978

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1, 887

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Least Common Multiple of 887 and 894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 887 and 894, than apply into the LCM equation.

GCF(887,894) = 1
LCM(887,894) = ( 887 × 894) / 1
LCM(887,894) = 792978 / 1
LCM(887,894) = 792978

Properties of LCM 887 and 894

(i) The LCM of 894 and 887 is associative

LCM of 887 and 894 = LCM of 894 and 887

Related Least Common Multiples of 887

Related Least Common Multiples of 894

Frequently Asked Questions on LCM of 887 and 894

1. What is the LCM of 887 and 894?

Answer: LCM of 887 and 894 is 792978.

2. What are the Factors of 887?

Answer: Factors of 887 are 1, 887. There are 2 integers that are factors of 887. The greatest factor of 887 is 887.

3. What are the Factors of 894?

Answer: Factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894. There are 8 integers that are factors of 894. The greatest factor of 894 is 894.

4. How to Find the LCM of 887 and 894?

Answer:

Least Common Multiple of 887 and 894 = 792978

Step 1: Find the prime factorization of 887

887 = 887

Step 2: Find the prime factorization of 894

894 = 2 x 3 x 149

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 792978 = 2 x 3 x 149 x 887

Step 4: Therefore, the least common multiple of 887 and 894 is 792978.